Two remarks concerning toroidal groups

DOI10.1007/BF01165934zbMath0527.32019MaRDI QIDQ786291

Christian Vogt

Publication date: 1983

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154916

zbMATH Keywords

Hodge decompositiontoroidal groupsDolbeault-cohomology groups

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (14)

An analogue of Hartshorne and Serre problems for 1-convex surfaces ⋮ \({\bar\partial}\)-problem on a family of weakly pseudoconvex manifolds ⋮ Existence of sections of line bundles over a toroidal group and its applications ⋮ -problem on weakly 1-complete Kähler manifolds ⋮ Sur les fonctions périodiques de plusieurs variables ⋮ Holomorphic sections of line bundles over (H,C)-groups ⋮ On the Néron-Severi group of abelian complex Lie groups ⋮ (H, C)-groups with positive line bundles ⋮ Lefschetz type theorem ⋮ Some Dolbeault isomorphisms for locally trivial fiber spaces and applications ⋮ Cohomology of the fundamental groups of toroidal groups ⋮ Homogeneous line bundles over a toroidal group ⋮ Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds ⋮ Holomorphic Line Bundles Over Domains in Cousin Groups and the Algebraic Dimension of Oeljeklaus-Toma Manifolds

Cites Work

• Unnamed Item
• Invariant meromorphic functions on complex semisimple Lie groups
• Invariant analytic hypersurfaces
• Line bundles on toroidal groups.

This page was built for publication: Two remarks concerning toroidal groups